3222356127480 has 1024 divisors, whose sum is σ = 13870020096000. Its totient is φ = 647695761408.

The previous prime is 3222356127469. The next prime is 3222356127493. The reversal of 3222356127480 is 847216532223.

3222356127480 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 3 + 561 + 2 + 7 + 4 + 80 = 666.

It is a super-2 number, since 2×3222356127480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 178248202 + ... + 178266278.

It is an arithmetic number, because the mean of its divisors is an integer number (13544941500).

Almost surely, 2^{3222356127480} is an apocalyptic number.

3222356127480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222356127480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935010048000).

3222356127480 is an abundant number, since it is smaller than the sum of its proper divisors (10647663968520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3222356127480 is a wasteful number, since it uses less digits than its factorization.

3222356127480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213 (or 18203 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

It can be divided in two parts, 32223561 and 27480, that added together give a square (32251041 = 5679²).

The spelling of 3222356127480 in words is "three trillion, two hundred twenty-two billion, three hundred fifty-six million, one hundred twenty-seven thousand, four hundred eighty".